Variational Iteration Method for the Burgers' Flow With Fractional Derivatives-New Lagrange Multipliers
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2020-05-02T15:42:15Z | |
| dc.date.accessioned | 2025-09-18T14:10:18Z | |
| dc.date.available | 2020-05-02T15:42:15Z | |
| dc.date.available | 2025-09-18T14:10:18Z | |
| dc.date.issued | 2013 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | The flow through porous media can be better described by fractional models than the classical ones since they include inherently memory effects caused by obstacles in the structures. The variational iteration method was extended to find approximate solutions of fractional differential equations with the Caputo derivatives, but the Lagrange multipliers of the method were not identified explicitly. In this paper, the Lagrange multiplier is determined in a more accurate way and some new variational iteration formulae are presented. (C) 2013 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Key Program of NSFC [51134018] | en_US |
| dc.description.sponsorship | The first author would like to feel grateful to the referees' suggestions. This work is financially supported by the Key Program of NSFC (No. 51134018). | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Wu, Guo-Cheng, "Variational Iteration Method For The Burgers' Flow With Fractional Derivatives-New Lagrange Multipliers", Applied Mathematical Modelling, 37, No. 9, pp. 6183-6190, (2013). | en_US |
| dc.identifier.doi | 10.1016/j.apm.2012.12.018 | |
| dc.identifier.issn | 0307-904X | |
| dc.identifier.issn | 1872-8480 | |
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| dc.identifier.uri | https://doi.org/10.1016/j.apm.2012.12.018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13649 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematical Modelling | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Differential Equation | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Variational Iteration Method | en_US |
| dc.title | Variational Iteration Method for the Burgers' Flow With Fractional Derivatives-New Lagrange Multipliers | en_US |
| dc.title | Variational Iteration Method For The Burgers' Flow With Fractional Derivatives-New Lagrange Multipliers | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Peoples R China; [Wu, Guo-Cheng] Sichuan Univ, Coll Water Resources & Hydropower, Chengdu 610065, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21413, Saudi Arabia | en_US |
| gdc.description.endpage | 6190 | en_US |
| gdc.description.issue | 9 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 6183 | en_US |
| gdc.description.volume | 37 | en_US |
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| gdc.oaire.keywords | Variational methods applied to problems in fluid mechanics | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Flows in porous media; filtration; seepage | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Caputo derivative | |
| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | variational iteration method | |
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